Some Sharp Chernoff type inequalities

Yuqi Zhou; Chunna Zeng

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arXiv · 2311.17512

Some Sharp Chernoff type inequalities

Yuqi Zhou·Chunna Zeng

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Abstract

Two sharp Chernoff type inequalities are obtained for star body in $\mathbb{R}^2$, one of which is an extension of the dual Chernoff-Ou-Pan inequality, and the other is the reverse Chernoff type inequality. Furthermore, we establish a generalized dual symmetric mixed Chernoff inequality for two planar star bodies. As a direct consequence, a new proof of the the dual symmetric mixed isoperimetric inequality is presented.

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Yuqi Zhou, Chunna Zeng. 2023-11-29. Some Sharp Chernoff type inequalities. https://arxiv.org/abs/2311.17512

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